For problem statement at 0-999/300-399/360-369/363/problemD.txt this is a correct solution, but verifier at 0-999/300-399/360-369/363/verifierD.go ends with case 19 failed: expected 3 105 got 2 28
exit status 1 can you fix the verifier? ```go
package main
import (
"bufio"
"fmt"
"os"
"sort"
)
func main() {
reader := bufio.NewReader(os.Stdin)
writer := bufio.NewWriter(os.Stdout)
defer writer.Flush()
var n, m int
var a int64
fmt.Fscan(reader, &n, &m, &a)
b := make([]int64, n)
for i := 0; i < n; i++ {
fmt.Fscan(reader, &b[i])
}
p := make([]int64, m)
for i := 0; i < m; i++ {
fmt.Fscan(reader, &p[i])
}
sort.Slice(b, func(i, j int) bool { return b[i] > b[j] })
sort.Slice(p, func(i, j int) bool { return p[i] < p[j] })
// Binary search on the number of boys k that can rent bikes
// For a given k, we take the k cheapest bikes and the k richest boys
// We pair the richest boy with the cheapest bike, etc. to minimize shared budget needed.
// Wait, actually to minimize the shared budget, we should pair the richest boy with the most expensive bike among the k cheapest.
// Let me think again.
// For k boys: take k cheapest bikes (p[0..k-1]) and k richest boys (b[0..k-1])
// To minimize shared budget: pair b[0] (richest) with p[k-1] (most expensive among chosen),
// b[1] with p[k-2], etc.
// The deficit for pair i is max(0, p[k-1-i] - b[i])
// Total deficit must be <= a
canRent := func(k int) bool {
if k == 0 {
return true
}
if k > n || k > m {
return false
}
var need int64
for i := 0; i < k; i++ {
diff := p[k-1-i] - b[i]
if diff > 0 {
need += diff
if need > a {
return false
}
}
}
return need <= a
}
// Binary search for maximum k
lo, hi := 0, n
if m < hi {
hi = m
}
for lo < hi {
mid := (lo + hi + 1) / 2
if canRent(mid) {
lo = mid
} else {
hi = mid - 1
}
}
maxK := lo
if maxK == 0 {
fmt.Fprintln(writer, 0, 0)
return
}
// Now find minimum personal money spent for maxK boys
// We have maxK boys (richest) and maxK bikes (cheapest)
// Pairing: b[i] with p[maxK-1-i]
// Each boy pays min(b[i], p[maxK-1-i]) from personal money, rest from shared
// Total shared = sum of max(0, p[maxK-1-i] - b[i]) <= a
// Remaining shared = a - total_needed_shared
// We can use remaining shared to reduce personal spending
// Personal spending for boy i = max(0, p[maxK-1-i] - max(0, p[maxK-1-i] - b[i]))
// Wait, let me reconsider.
// For each pair, the cost is p[maxK-1-i]. Boy i pays some amount from personal, rest from shared.
// Boy i personal payment = p[maxK-1-i] - (shared allocated to this boy)
// But personal payment >= 0 and <= min(b[i], p[maxK-1-i])
// Minimum personal = max(0, p[maxK-1-i] - shared_for_i)
// We want to minimize sum of personal = sum of p[maxK-1-i] - sum of shared allocated
// Subject to: shared allocated to boy i <= p[maxK-1-i], total shared <= a
// Also shared to boy i <= p[maxK-1-i] (can't pay more than price)
// And personal >= 0 means shared_i <= p[maxK-1-i]
// Also personal <= b[i] means shared_i >= p[maxK-1-i] - b[i]
// So minimize total personal = sum(p[maxK-1-i]) - min(sum(shared_i), a) where each shared_i <= p[maxK-1-i] and shared_i >= max(0, p[maxK-1-i]-b[i])
totalCost := int64(0)
totalDeficit := int64(0)
for i := 0; i < maxK; i++ {
price := p[maxK-1-i]
totalCost += price
diff := price - b[i]
if diff > 0 {
totalDeficit += diff
}
}
remaining := a - totalDeficit
// We can use remaining to further offset personal money, but limited by each boy's personal contribution
// Max we can offset in total is min(remaining, sum of min(b[i], p[maxK-1-i]))
totalPersonal := totalCost - totalDeficit - remaining
if totalPersonal < 0 {
totalPersonal = 0
}
fmt.Fprintln(writer, maxK, totalPersonal)
}
```